{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# K-means"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_biclusters\n",
    "from numpy.random import randn, seed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Distortion Function\n",
    "\n",
    "The distortion function for the k-means algorithm\n",
    "$$\n",
    "    J(\\boldsymbol \\mu) = \\sum_{n=1}^N\\sum_{k_1}^K r_{nk} ||{\\bf x}_n - {\\boldsymbol \\mu_k}||^2\n",
    "$$\n",
    "\n",
    "is minimized by following the EM steps:\n",
    "\n",
    "\n",
    "**E-Step**: Minime $J$ w.r.t. $\\{r_{nk}\\}_{n,k}$ keeping $\\{{\\bf\\mu}_k\\}_{k}$ fixed. Assign the $n$-th datapoint to the closest prototype, i.e.,\n",
    "\n",
    "$$\n",
    "    r_{n\\hat k} =\n",
    "    \\begin{cases}\n",
    "        1 & \\hat k = \\arg\\min_k||{\\bf x}_n - {\\boldsymbol\\mu}_k||^2\\\\\n",
    "        0 & \\text{otherwise}\n",
    "    \\end{cases}\n",
    "$$\n",
    "\n",
    "\n",
    "**M-Step**: Minimize $J$ w.r.t $\\{{\\bf\\mu}_k\\}_{k}$ keeping $\\{r_{nk}\\}_{n,k}$ fixed as\n",
    "$$\n",
    "    {\\bf\\mu}_{\\hat k} = \\frac{1}{N_{\\hat k}}\\sum_{\\{n|{\\bf x}_n\\in C_{\\hat k}\\}}{\\bf x}_n\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a1c07dc10>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 394
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y, _ = make_biclusters((200, 2), 2, noise=0.2, random_state=314, minval=0, maxval=1)\n",
    "plt.scatter(*X.T, c=y.argmax(axis=0), cmap=\"Dark2\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class KMeans:\n",
    "    def __init__(self, X, y, K, prototype_init=None, random_state=None):\n",
    "        seed(random_state)\n",
    "        self.N, self.M = X.shape\n",
    "        self.K =K\n",
    "        self.X = X\n",
    "        self.y = y\n",
    "        self.prototypes = self._initialize_protypes(prototype_init, random_state)\n",
    "        self.i = 0\n",
    "        self.distortion_hist = [self.compute_distortion()]\n",
    "    \n",
    "    def _initialize_protypes(self, prototype, random_state):\n",
    "        if prototype is None:\n",
    "            seed(random_state)\n",
    "            return np.random.randn(self.K, self.M)\n",
    "        else:\n",
    "            return prototype\n",
    "    \n",
    "    def compute_distances(self):\n",
    "        \"\"\"\n",
    "        Compute the euclidian distance between the dataset and\n",
    "        each of the prototypes\n",
    "        \"\"\"\n",
    "        distance = (self.X[np.newaxis, ...] - self.prototypes[:, np.newaxis]) ** 2\n",
    "        return distance\n",
    "        \n",
    "    def e_step(self):\n",
    "        R = self.compute_distances()\n",
    "        R = R.sum(axis=-1)\n",
    "        R = R.argmin(axis=0)\n",
    "        \n",
    "        r = np.ones((self.N, self.K)).cumsum(axis=1) - 1 == R[:, np.newaxis]\n",
    "        return r\n",
    "        \n",
    "    def m_step(self):\n",
    "        r = self.e_step()\n",
    "        prototypes = (self.X[:, np.newaxis] * r[..., np.newaxis]).mean(axis=0)\n",
    "        return prototypes\n",
    "    \n",
    "    def update_prototypes(self):\n",
    "        self.prototypes = self.m_step()\n",
    "        Ji = self.compute_distortion()\n",
    "        self.distortion_hist.append(Ji)\n",
    "    \n",
    "    def compute_distortion(self):\n",
    "        J = self.compute_distances()\n",
    "        r = self.e_step()\n",
    "        return (J.sum(axis=-1).T * r).sum()\n",
    "    \n",
    "    def fit(self, threshold=1e-6, save_proto_hist=False):\n",
    "        diff = np.inf\n",
    "        if save_proto_hist:\n",
    "            proto_hist =[self.prototypes]\n",
    "            \n",
    "        while diff > threshold:\n",
    "            self.update_prototypes()            \n",
    "            *_, J0, J1 = self.distortion_hist\n",
    "            diff = np.abs(J1 / J0 - 1)\n",
    "            if save_proto_hist:\n",
    "                proto_hist.append(self.prototypes)\n",
    "        \n",
    "        if save_proto_hist:\n",
    "            return proto_hist\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu_0 = np.array([\n",
    "    [-1, -1],\n",
    "    [1.5, 1.5]\n",
    "])\n",
    "\n",
    "km = KMeans(X, y, 2, prototype_init=mu_0)\n",
    "\n",
    "hist = km.fit(save_proto_hist=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 209,
       "width": 715
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(12, 3))\n",
    "\n",
    "R = km.e_step().argmax(axis=1)\n",
    "ax[1].plot(km.distortion_hist, marker=\"o\")\n",
    "ax[0].scatter(*X.T, c=R, cmap=\"Dark2\", alpha=0.8)\n",
    "ax[0].scatter(*km.prototypes.T, c=\"tab:red\", s=100, marker=\"x\");\n",
    "\n",
    "ax[0].set_title(\"Clusters\");\n",
    "ax[1].set_title(\"Distortion History\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0,\n",
       "       1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1,\n",
       "       1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1,\n",
       "       1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0,\n",
       "       1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1,\n",
       "       0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0,\n",
       "       0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0,\n",
       "       1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0,\n",
       "       0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0,\n",
       "       0, 1])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "R"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
